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Finding the Fourth Proportional to 657,317.14, 907,097.70 and 355,511.14

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Solution

The fourth proportional to 657,317.14, 907,097.70 and 355,511.14 is: 490,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,317.14 : 907,097.70 = 355,511.14 : x
  2. Step 2: Convert to fraction form
    657,317.14/907,097.70 = 355,511.14/x
  3. Step 3: Cross multiply
    657,317.14x = 907,097.70 × 355,511.14
  4. Step 4: Simplify right side
    657,317.14x = 322,483,337,418.38
  5. Step 5: Solve for x
    x = 322,483,337,418.38/657,317.14
  6. Step 6: Final answer
    x = 490,605.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.